We consider interacting Bose gases trapped in a box \Lambda = [0;1]^3 in the Gross-Pitaevskii limit. Assuming the potential to be weak enough, we establish the validity of Bogoliubov's...

# Publications

## Pages

The paper associates Lagrangian submanifolds in symplectic toric varieties to certain tropical curves inside the convex polyhedral domains of $\R^n$ that appear as the images of the moment map...

We consider Z^{d}, with d bigger or equal to three. We investigate the vacant set of random interlacements in the strongly percolative regime, the vacant set of the simple random walk,...

The triadic description of general relativity in three dimensions is known to be a BF theory. Diffeomorphisms, as symmetries, are easily recovered on-shell from the symmetries of BF theory. This...

How can a renormalization group fixed point be scale invariant without being conformal? Polchinski (1988) showed that this may happen if the theory contains a virial current -- a non-conserved...

We show the result that is stated in the title of the paper, which has consequences about decomposition of Brownian loop-soup clusters in two dimensions.

We study ordered configuration spaces of compact manifolds with boundary. We show that for a large class of such manifolds, the real homotopy type of the configuration spaces only depends on the...

We classify non-symplectic automorphisms of odd prime order on irreducible holomorphic symplectic manifolds which are deformations of Hilbert schemes of any number n of points on K3 surfaces,...

We study one-dimensional insulators obeying a chiral symmetry in the single-particle picture. The Fermi level is assumed to lie in a mobility gap. Topological indices are defined for infinite (...

About 30 years ago, in a joint work with L. Faddeev we introduced a geometric action on coadjoint orbits. This action, in particular, gives rise to a path integral formula for characters of the...

We show that the number of maximal paths in directed last-passage percolation on the hypercubic lattice {\mathbb Z}^d in which weights take finitely many values is typically exponentially large...

We study automorphisms of the Hilbert scheme of n points on a generic projective K3 surface S, for any n \geq 2. We show that the automorphism group of S^{[n]} is either trivial or generated by...